122100232112100 has 864 divisors, whose sum is σ = 453704506469760. Its totient is φ = 27142594560000.

The previous prime is 122100232111999. The next prime is 122100232112101. The reversal of 122100232112100 is 1211232001221.

122100232112100 is a `hidden beast` number, since 1 + 2 + 210 + 0 + 232 + 11 + 210 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (122100232112101) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1343176650 + ... + 1343267550.

Almost surely, 2^{122100232112100} is an apocalyptic number.

122100232112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122100232112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226852253234880).

122100232112100 is an abundant number, since it is smaller than the sum of its proper divisors (331604274357660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122100232112100 is a wasteful number, since it uses less digits than its factorization.

122100232112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91181 (or 91171 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 122100232112100 its reverse (1211232001221), we get a palindrome (123311464113321).

The spelling of 122100232112100 in words is "one hundred twenty-two trillion, one hundred billion, two hundred thirty-two million, one hundred twelve thousand, one hundred".